Sr Examen

Otras calculadoras

x^2*sin(x)
Trazado el gráfico de la función/ x^2*sin(x)

Gráfico de la función y = x^2*sin(x)

v

Gráfico:

interior superior

Puntos de intersección:

mostrar?

Definida a trozos:

Solución

Ha introducido [src] 
        2       
f(x) = x *sin(x)
f(x)=x2sin⁡(x)f{\left(x \right)} = x^{2} \sin{\left(x \right)} 
f = x^2*sin(x)
Gráfico de la función
02468-8-6-4-2-1010-100100
Puntos de cruce con el eje de coordenadas X
El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
x2sin⁡(x)=0x^{2} \sin{\left(x \right)} = 0
Resolvermos esta ecuación
Puntos de cruce con el eje X:

Solución analítica
x1=0x_{1} = 0
x2=πx_{2} = \pi
Solución numérica
x1=−59.6902604182061x_{1} = -59.6902604182061
x2=−62.8318530717959x_{2} = -62.8318530717959
x3=−97.3893722612836x_{3} = -97.3893722612836
x4=−106.814150222053x_{4} = -106.814150222053
x5=−56.5486677646163x_{5} = -56.5486677646163
x6=87.9645943005142x_{6} = 87.9645943005142
x7=69.1150383789755x_{7} = 69.1150383789755
x8=31.4159265358979x_{8} = 31.4159265358979
x9=−37.6991118430775x_{9} = -37.6991118430775
x10=−81.6814089933346x_{10} = -81.6814089933346
x11=−84.8230016469244x_{11} = -84.8230016469244
x12=−21.9911485751286x_{12} = -21.9911485751286
x13=47.1238898038469x_{13} = 47.1238898038469
x14=−15.707963267949x_{14} = -15.707963267949
x15=−12.5663706143592x_{15} = -12.5663706143592
x16=12.5663706143592x_{16} = 12.5663706143592
x17=−87.9645943005142x_{17} = -87.9645943005142
x18=53.4070751110265x_{18} = 53.4070751110265
x19=72.2566310325652x_{19} = 72.2566310325652
x20=−100.530964914873x_{20} = -100.530964914873
x21=−3.14159265358979x_{21} = -3.14159265358979
x22=34.5575191894877x_{22} = 34.5575191894877
x23=−94.2477796076938x_{23} = -94.2477796076938
x24=6.28318530717959x_{24} = 6.28318530717959
x25=−69.1150383789755x_{25} = -69.1150383789755
x26=97.3893722612836x_{26} = 97.3893722612836
x27=0x_{27} = 0
x28=65.9734457253857x_{28} = 65.9734457253857
x29=−50.2654824574367x_{29} = -50.2654824574367
x30=15.707963267949x_{30} = 15.707963267949
x31=3.14159265358979x_{31} = 3.14159265358979
x32=−25.1327412287183x_{32} = -25.1327412287183
x33=−18.8495559215388x_{33} = -18.8495559215388
x34=40.8407044966673x_{34} = 40.8407044966673
x35=−53.4070751110265x_{35} = -53.4070751110265
x36=37.6991118430775x_{36} = 37.6991118430775
x37=−43.9822971502571x_{37} = -43.9822971502571
x38=18.8495559215388x_{38} = 18.8495559215388
x39=−78.5398163397448x_{39} = -78.5398163397448
x40=−6.28318530717959x_{40} = -6.28318530717959
x41=−40.8407044966673x_{41} = -40.8407044966673
x42=43.9822971502571x_{42} = 43.9822971502571
x43=56.5486677646163x_{43} = 56.5486677646163
x44=−65.9734457253857x_{44} = -65.9734457253857
x45=25.1327412287183x_{45} = 25.1327412287183
x46=78.5398163397448x_{46} = 78.5398163397448
x47=−28.2743338823081x_{47} = -28.2743338823081
x48=75.398223686155x_{48} = 75.398223686155
x49=59.6902604182061x_{49} = 59.6902604182061
x50=−34.5575191894877x_{50} = -34.5575191894877
x51=81.6814089933346x_{51} = 81.6814089933346
x52=−47.1238898038469x_{52} = -47.1238898038469
x53=100.530964914873x_{53} = 100.530964914873
x54=−9.42477796076938x_{54} = -9.42477796076938
x55=−75.398223686155x_{55} = -75.398223686155
x56=−72.2566310325652x_{56} = -72.2566310325652
x57=−31.4159265358979x_{57} = -31.4159265358979
x58=28.2743338823081x_{58} = 28.2743338823081
x59=−91.106186954104x_{59} = -91.106186954104
x60=21.9911485751286x_{60} = 21.9911485751286
x61=62.8318530717959x_{61} = 62.8318530717959
x62=9.42477796076938x_{62} = 9.42477796076938
x63=50.2654824574367x_{63} = 50.2654824574367
x64=94.2477796076938x_{64} = 94.2477796076938
x65=91.106186954104x_{65} = 91.106186954104
x66=84.8230016469244x_{66} = 84.8230016469244
Puntos de cruce con el eje de coordenadas Y
El gráfico cruce el eje Y cuando x es igual a 0:
sustituimos x = 0 en x^2*sin(x).
02sin⁡(0)0^{2} \sin{\left(0 \right)}
Resultado:
f(0)=0f{\left(0 \right)} = 0
Punto:
(0, 0)
Extremos de la función
Para hallar los extremos hay que resolver la ecuación
ddxf(x)=0\frac{d}{d x} f{\left(x \right)} = 0
(la derivada es igual a cero),
y las raíces de esta ecuación serán los extremos de esta función:
ddxf(x)=\frac{d}{d x} f{\left(x \right)} =
primera derivada
x2cos⁡(x)+2xsin⁡(x)=0x^{2} \cos{\left(x \right)} + 2 x \sin{\left(x \right)} = 0
Resolvermos esta ecuación
Raíces de esta ecuación
x1=3.95930141892882⋅10−7x_{1} = 3.95930141892882 \cdot 10^{-7}
x2=39.3207281322521x_{2} = 39.3207281322521
x3=55.0142096788381x_{3} = 55.0142096788381
x4=73.8545010149048x_{4} = 73.8545010149048
x5=−33.0471686947054x_{5} = -33.0471686947054
x6=86.4169374541167x_{6} = 86.4169374541167
x7=29.9118938695518x_{7} = 29.9118938695518
x8=−20.5175229099417x_{8} = -20.5175229099417
x9=14.2763529183365x_{9} = 14.2763529183365
x10=−120.967848975693x_{10} = -120.967848975693
x11=−95.839441141233x_{11} = -95.839441141233
x12=−29.9118938695518x_{12} = -29.9118938695518
x13=−76.9949898891676x_{13} = -76.9949898891676
x14=11.17270586833x_{14} = 11.17270586833
x15=−51.8748140534268x_{15} = -51.8748140534268
x16=26.7780870755585x_{16} = 26.7780870755585
x17=−92.6985552433969x_{17} = -92.6985552433969
x18=−80.1355651940744x_{18} = -80.1355651940744
x19=−58.153842078645x_{19} = -58.153842078645
x20=−67.573830670859x_{20} = -67.573830670859
x21=45.5969279840735x_{21} = 45.5969279840735
x22=89.5577188827244x_{22} = 89.5577188827244
x23=−61.2936749662429x_{23} = -61.2936749662429
x24=−36.1835330907526x_{24} = -36.1835330907526
x25=8.09616360322292x_{25} = 8.09616360322292
x26=−55.0142096788381x_{26} = -55.0142096788381
x27=−14.2763529183365x_{27} = -14.2763529183365
x28=−42.458570771699x_{28} = -42.458570771699
x29=80.1355651940744x_{29} = 80.1355651940744
x30=95.839441141233x_{30} = 95.839441141233
x31=70.7141100665485x_{31} = 70.7141100665485
x32=−5.08698509410227x_{32} = -5.08698509410227
x33=−64.4336791037316x_{33} = -64.4336791037316
x34=0x_{34} = 0
x35=36.1835330907526x_{35} = 36.1835330907526
x36=−70.7141100665485x_{36} = -70.7141100665485
x37=61.2936749662429x_{37} = 61.2936749662429
x38=2.2889297281034x_{38} = 2.2889297281034
x39=23.6463238196036x_{39} = 23.6463238196036
x40=48.7357007949054x_{40} = 48.7357007949054
x41=−98.9803718651523x_{41} = -98.9803718651523
x42=−39.3207281322521x_{42} = -39.3207281322521
x43=−17.3932439645948x_{43} = -17.3932439645948
x44=83.2762171649775x_{44} = 83.2762171649775
x45=−86.4169374541167x_{45} = -86.4169374541167
x46=92.6985552433969x_{46} = 92.6985552433969
x47=51.8748140534268x_{47} = 51.8748140534268
x48=5.08698509410227x_{48} = 5.08698509410227
x49=−11.17270586833x_{49} = -11.17270586833
x50=−45.5969279840735x_{50} = -45.5969279840735
x51=33.0471686947054x_{51} = 33.0471686947054
x52=76.9949898891676x_{52} = 76.9949898891676
x53=−8.09616360322292x_{53} = -8.09616360322292
x54=64.4336791037316x_{54} = 64.4336791037316
x55=−48.7357007949054x_{55} = -48.7357007949054
x56=−26.7780870755585x_{56} = -26.7780870755585
x57=20.5175229099417x_{57} = 20.5175229099417
x58=17.3932439645948x_{58} = 17.3932439645948
x59=67.573830670859x_{59} = 67.573830670859
x60=58.153842078645x_{60} = 58.153842078645
x61=−23.6463238196036x_{61} = -23.6463238196036
x62=−73.8545010149048x_{62} = -73.8545010149048
x63=−2.2889297281034x_{63} = -2.2889297281034
x64=98.9803718651523x_{64} = 98.9803718651523
x65=−89.5577188827244x_{65} = -89.5577188827244
x66=−83.2762171649775x_{66} = -83.2762171649775
x67=42.458570771699x_{67} = 42.458570771699
Signos de extremos en los puntos:
(3.9593014189288195e-07, 6.20662771905043e-20)

(39.32072813225213, 1544.1235331857)

(55.01420967883812, -3024.56524685288)

(73.85450101490484, -5452.4884195005)

(-33.04716869470536, -1090.12083594654)

(86.4169374541167, -7465.88788203037)

(29.911893869551772, -892.728075975236)

(-20.51752290994169, -418.982887272434)

(14.276352918336478, 201.843217881861)

(-120.96784897569329, -14631.2208957387)

(-95.83944114123304, -9183.19913125177)

(-29.911893869551772, 892.728075975236)

(-76.9949898891676, -5926.22947957101)

(11.172705868329984, -122.876173513916)

(-51.874814053426775, -2688.99855997676)

(26.778087075558506, 715.074276149712)

(-92.69855524339692, 8591.02284218332)

(-80.13556519407445, 6419.70974281978)

(-58.153842078645, -3379.87112092779)

(-67.573830670859, 4564.22390457183)

(45.59692798407349, 2077.08272285774)

(89.55771888272442, 8018.58575924144)

(-61.2936749662429, 3754.91618650696)

(-36.18353309075258, 1307.25263807613)

(8.096163603222921, 63.6349819515545)

(-55.01420967883812, 3024.56524685288)

(-14.276352918336478, -201.843217881861)

(-42.458570771699044, 1800.73355411815)

(80.13556519407445, -6419.70974281978)

(95.83944114123304, 9183.19913125177)

(70.7141100665485, 4998.48656158818)

(-5.08698509410227, 24.0829602230683)

(-64.43367910373156, -4149.70044687478)

(0, 0)

(36.18353309075258, -1307.25263807613)

(-70.7141100665485, -4998.48656158818)

(61.2936749662429, -3754.91618650696)

(2.2889297281034042, 3.94530162528433)

(23.64632381960362, -557.159297209023)

(48.73570079490539, -2373.17105456709)

(-98.98037186515228, 9795.11462678079)

(-39.32072813225213, -1544.1235331857)

(-17.393243964594753, 300.544552657996)

(83.27621716497754, 6932.92921007843)

(-86.4169374541167, 7465.88788203037)

(92.69855524339692, -8591.02284218332)

(51.874814053426775, 2688.99855997676)

(5.08698509410227, -24.0829602230683)

(-11.172705868329984, 122.876173513916)

(-45.59692798407349, -2077.08272285774)

(33.04716869470536, 1090.12083594654)

(76.9949898891676, 5926.22947957101)

(-8.096163603222921, -63.6349819515545)

(64.43367910373156, 4149.70044687478)

(-48.73570079490539, 2373.17105456709)

(-26.778087075558506, -715.074276149712)

(20.51752290994169, 418.982887272434)

(17.393243964594753, -300.544552657996)

(67.573830670859, -4564.22390457183)

(58.153842078645, 3379.87112092779)

(-23.64632381960362, 557.159297209023)

(-73.85450101490484, 5452.4884195005)

(-2.2889297281034042, -3.94530162528433)

(98.98037186515228, -9795.11462678079)

(-89.55771888272442, -8018.58575924144)

(-83.27621716497754, -6932.92921007843)

(42.458570771699044, -1800.73355411815)


Intervalos de crecimiento y decrecimiento de la función:
Hallemos los intervalos donde la función crece y decrece y también los puntos mínimos y máximos de la función, para lo cual miramos cómo se comporta la función en los extremos con desviación mínima del extremo:
Puntos mínimos de la función:
x1=55.0142096788381x_{1} = 55.0142096788381
x2=73.8545010149048x_{2} = 73.8545010149048
x3=−33.0471686947054x_{3} = -33.0471686947054
x4=86.4169374541167x_{4} = 86.4169374541167
x5=29.9118938695518x_{5} = 29.9118938695518
x6=−20.5175229099417x_{6} = -20.5175229099417
x7=−120.967848975693x_{7} = -120.967848975693
x8=−95.839441141233x_{8} = -95.839441141233
x9=−76.9949898891676x_{9} = -76.9949898891676
x10=11.17270586833x_{10} = 11.17270586833
x11=−51.8748140534268x_{11} = -51.8748140534268
x12=−58.153842078645x_{12} = -58.153842078645
x13=−14.2763529183365x_{13} = -14.2763529183365
x14=80.1355651940744x_{14} = 80.1355651940744
x15=−64.4336791037316x_{15} = -64.4336791037316
x16=36.1835330907526x_{16} = 36.1835330907526
x17=−70.7141100665485x_{17} = -70.7141100665485
x18=61.2936749662429x_{18} = 61.2936749662429
x19=23.6463238196036x_{19} = 23.6463238196036
x20=48.7357007949054x_{20} = 48.7357007949054
x21=−39.3207281322521x_{21} = -39.3207281322521
x22=92.6985552433969x_{22} = 92.6985552433969
x23=5.08698509410227x_{23} = 5.08698509410227
x24=−45.5969279840735x_{24} = -45.5969279840735
x25=−8.09616360322292x_{25} = -8.09616360322292
x26=−26.7780870755585x_{26} = -26.7780870755585
x27=17.3932439645948x_{27} = 17.3932439645948
x28=67.573830670859x_{28} = 67.573830670859
x29=−2.2889297281034x_{29} = -2.2889297281034
x30=98.9803718651523x_{30} = 98.9803718651523
x31=−89.5577188827244x_{31} = -89.5577188827244
x32=−83.2762171649775x_{32} = -83.2762171649775
x33=42.458570771699x_{33} = 42.458570771699
Puntos máximos de la función:
x33=39.3207281322521x_{33} = 39.3207281322521
x33=14.2763529183365x_{33} = 14.2763529183365
x33=−29.9118938695518x_{33} = -29.9118938695518
x33=26.7780870755585x_{33} = 26.7780870755585
x33=−92.6985552433969x_{33} = -92.6985552433969
x33=−80.1355651940744x_{33} = -80.1355651940744
x33=−67.573830670859x_{33} = -67.573830670859
x33=45.5969279840735x_{33} = 45.5969279840735
x33=89.5577188827244x_{33} = 89.5577188827244
x33=−61.2936749662429x_{33} = -61.2936749662429
x33=−36.1835330907526x_{33} = -36.1835330907526
x33=8.09616360322292x_{33} = 8.09616360322292
x33=−55.0142096788381x_{33} = -55.0142096788381
x33=−42.458570771699x_{33} = -42.458570771699
x33=95.839441141233x_{33} = 95.839441141233
x33=70.7141100665485x_{33} = 70.7141100665485
x33=−5.08698509410227x_{33} = -5.08698509410227
x33=2.2889297281034x_{33} = 2.2889297281034
x33=−98.9803718651523x_{33} = -98.9803718651523
x33=−17.3932439645948x_{33} = -17.3932439645948
x33=83.2762171649775x_{33} = 83.2762171649775
x33=−86.4169374541167x_{33} = -86.4169374541167
x33=51.8748140534268x_{33} = 51.8748140534268
x33=−11.17270586833x_{33} = -11.17270586833
x33=33.0471686947054x_{33} = 33.0471686947054
x33=76.9949898891676x_{33} = 76.9949898891676
x33=64.4336791037316x_{33} = 64.4336791037316
x33=−48.7357007949054x_{33} = -48.7357007949054
x33=20.5175229099417x_{33} = 20.5175229099417
x33=58.153842078645x_{33} = 58.153842078645
x33=−23.6463238196036x_{33} = -23.6463238196036
x33=−73.8545010149048x_{33} = -73.8545010149048
Decrece en los intervalos
[98.9803718651523,∞)\left[98.9803718651523, \infty\right)
Crece en los intervalos
(−∞,−120.967848975693]\left(-\infty, -120.967848975693\right]
Puntos de flexiones
Hallemos los puntos de flexiones, para eso hay que resolver la ecuación
d2dx2f(x)=0\frac{d^{2}}{d x^{2}} f{\left(x \right)} = 0
(la segunda derivada es igual a cero),
las raíces de la ecuación obtenida serán los puntos de flexión para el gráfico de la función indicado:
d2dx2f(x)=\frac{d^{2}}{d x^{2}} f{\left(x \right)} =
segunda derivada
−x2sin⁡(x)+4xcos⁡(x)+2sin⁡(x)=0- x^{2} \sin{\left(x \right)} + 4 x \cos{\left(x \right)} + 2 \sin{\left(x \right)} = 0
Resolvermos esta ecuación
Raíces de esta ecuación
x1=−34.6725661362236x_{1} = -34.6725661362236
x2=1.51985529843113x_{2} = 1.51985529843113
x3=12.8711405784383x_{3} = 12.8711405784383
x4=34.6725661362236x_{4} = 34.6725661362236
x5=−88.0100241275575x_{5} = -88.0100241275575
x6=−62.895397234671x_{6} = -62.895397234671
x7=−56.6192418251285x_{7} = -56.6192418251285
x8=−15.9554654297511x_{8} = -15.9554654297511
x9=−53.4817799880237x_{9} = -53.4817799880237
x10=47.2084939833195x_{10} = 47.2084939833195
x11=−1.51985529843113x_{11} = -1.51985529843113
x12=−44.0729006762809x_{12} = -44.0729006762809
x13=−31.5423183719258x_{13} = -31.5423183719258
x14=59.7571356682663x_{14} = 59.7571356682663
x15=−72.3119117382824x_{15} = -72.3119117382824
x16=−40.9382191715155x_{16} = -40.9382191715155
x17=25.2900904960802x_{17} = 25.2900904960802
x18=69.1728243307457x_{18} = 69.1728243307457
x19=−100.570724821846x_{19} = -100.570724821846
x20=88.0100241275575x_{20} = 88.0100241275575
x21=0x_{21} = 0
x22=53.4817799880237x_{22} = 53.4817799880237
x23=37.8046732869526x_{23} = 37.8046732869526
x24=40.9382191715155x_{24} = 40.9382191715155
x25=−81.7303260381702x_{25} = -81.7303260381702
x26=−97.4304127980508x_{26} = -97.4304127980508
x27=−28.4145306971625x_{27} = -28.4145306971625
x28=94.290185945407x_{28} = 94.290185945407
x29=15.9554654297511x_{29} = 15.9554654297511
x30=44.0729006762809x_{30} = 44.0729006762809
x31=−94.290185945407x_{31} = -94.290185945407
x32=−69.1728243307457x_{32} = -69.1728243307457
x33=100.570724821846x_{33} = 100.570724821846
x34=3.99444471574142x_{34} = 3.99444471574142
x35=97.4304127980508x_{35} = 97.4304127980508
x36=−22.1703631077661x_{36} = -22.1703631077661
x37=28.4145306971625x_{37} = 28.4145306971625
x38=62.895397234671x_{38} = 62.895397234671
x39=31.5423183719258x_{39} = 31.5423183719258
x40=75.4512070764701x_{40} = 75.4512070764701
x41=50.3448303040845x_{41} = 50.3448303040845
x42=78.5906855194896x_{42} = 78.5906855194896
x43=−6.83214574693118x_{43} = -6.83214574693118
x44=−3.99444471574142x_{44} = -3.99444471574142
x45=−78.5906855194896x_{45} = -78.5906855194896
x46=−50.3448303040845x_{46} = -50.3448303040845
x47=−37.8046732869526x_{47} = -37.8046732869526
x48=−9.81900340196872x_{48} = -9.81900340196872
x49=−25.2900904960802x_{49} = -25.2900904960802
x50=84.8701107016488x_{50} = 84.8701107016488
x51=81.7303260381702x_{51} = 81.7303260381702
x52=72.3119117382824x_{52} = 72.3119117382824
x53=56.6192418251285x_{53} = 56.6192418251285
x54=19.0575561537385x_{54} = 19.0575561537385
x55=−91.1500530451789x_{55} = -91.1500530451789
x56=22.1703631077661x_{56} = 22.1703631077661
x57=66.0339743721325x_{57} = 66.0339743721325
x58=91.1500530451789x_{58} = 91.1500530451789
x59=−59.7571356682663x_{59} = -59.7571356682663
x60=−75.4512070764701x_{60} = -75.4512070764701
x61=6.83214574693118x_{61} = 6.83214574693118
x62=−84.8701107016488x_{62} = -84.8701107016488
x63=−66.0339743721325x_{63} = -66.0339743721325
x64=−47.2084939833195x_{64} = -47.2084939833195
x65=9.81900340196872x_{65} = 9.81900340196872
x66=−12.8711405784383x_{66} = -12.8711405784383
x67=−19.0575561537385x_{67} = -19.0575561537385

Intervalos de convexidad y concavidad:
Hallemos los intervales donde la función es convexa o cóncava, para eso veamos cómo se comporta la función en los puntos de flexiones:
Cóncava en los intervalos
[97.4304127980508,∞)\left[97.4304127980508, \infty\right)
Convexa en los intervalos
(−∞,−97.4304127980508]\left(-\infty, -97.4304127980508\right]
Asíntotas horizontales
Hallemos las asíntotas horizontales mediante los límites de esta función con x->+oo y x->-oo
lim⁡x→−∞(x2sin⁡(x))=⟨−∞,∞⟩\lim_{x \to -\infty}\left(x^{2} \sin{\left(x \right)}\right) = \left\langle -\infty, \infty\right\rangle
Tomamos como el límite
es decir,
ecuación de la asíntota horizontal a la izquierda:
y=⟨−∞,∞⟩y = \left\langle -\infty, \infty\right\rangle
lim⁡x→∞(x2sin⁡(x))=⟨−∞,∞⟩\lim_{x \to \infty}\left(x^{2} \sin{\left(x \right)}\right) = \left\langle -\infty, \infty\right\rangle
Tomamos como el límite
es decir,
ecuación de la asíntota horizontal a la derecha:
y=⟨−∞,∞⟩y = \left\langle -\infty, \infty\right\rangle
Asíntotas inclinadas
Se puede hallar la asíntota inclinada calculando el límite de la función x^2*sin(x), dividida por x con x->+oo y x ->-oo
lim⁡x→−∞(xsin⁡(x))=⟨−∞,∞⟩\lim_{x \to -\infty}\left(x \sin{\left(x \right)}\right) = \left\langle -\infty, \infty\right\rangle
Tomamos como el límite
es decir,
ecuación de la asíntota inclinada a la izquierda:
y=⟨−∞,∞⟩xy = \left\langle -\infty, \infty\right\rangle x
lim⁡x→∞(xsin⁡(x))=⟨−∞,∞⟩\lim_{x \to \infty}\left(x \sin{\left(x \right)}\right) = \left\langle -\infty, \infty\right\rangle
Tomamos como el límite
es decir,
ecuación de la asíntota inclinada a la derecha:
y=⟨−∞,∞⟩xy = \left\langle -\infty, \infty\right\rangle x
Paridad e imparidad de la función
Comprobemos si la función es par o impar mediante las relaciones f = f(-x) и f = -f(-x).
Pues, comprobamos:
x2sin⁡(x)=−x2sin⁡(x)x^{2} \sin{\left(x \right)} = - x^{2} \sin{\left(x \right)}
- No
x2sin⁡(x)=x2sin⁡(x)x^{2} \sin{\left(x \right)} = x^{2} \sin{\left(x \right)}
- Sí
es decir, función
es
impar
Gráfico
Gráfico de la función y = x^2*sin(x)
    © Sr Examen – Калькулятор